Answer:
b. option Is the correct answer right
Answer:
1
Step-by-step explanation:
The function with the given zeros will factor as ...
f(x) = a(x +15)(x^2 +9) . . . . with leading coefficient 'a'
You have ...
f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a
Then a = 221/221 = 1
The leading coefficient is 1.
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<em>Additional comment</em>
As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.
Answer:
103°
Step-by-step explanation:
∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.
Vertically opposite angles are angles that form when two lines intersect
From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning
∠CEA=∠DEB and ∠CED=∠AEB
Replacing ∠CED=∠AEB, we get
(14x+7)°=(12x+17)°
Solve for x
(14x-12x)=17-7
2x=10
x=10÷2=5
value for x in ∠CED=∠AEB, we get (14×5)+7=77°
To calculate ∠CEA and ∠DEB
Let ∠CEA=∠DEB=y
∠DEA=180°since its a straight line therefor
(14x+7)°+y=180°
77+y=180
y=∠CEA=∠DEB=103°
If they set aside the 8 extra quarters, the remaining coins will be pairs consisting of one quarter and one dime--each pair worth $0.35. The value of those pairs is $5.15 -2.00 = $3.15, so there must be $3.15/$0.35 = 9 of them.
There are 9 dimes and 17 quarters.
